Pith Number

pith:YL7VEZRO

pith:2022:YL7VEZROVDITABFRBEAXELR7GT

not attested not anchored not stored refs pending

Nonconvex Matrix Factorization is Geodesically Convex: Global Landscape Analysis for Fixed-rank Matrix Optimization From a Riemannian Perspective

Nicolas Garcia Trillos, Yuetian Luo

arxiv:2209.15130 v2 · 2022-09-29 · math.OC · cs.IT · cs.LG · cs.NA · eess.SP · math.IT · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YL7VEZROVDITABFRBEAXELR7GT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

A primal-dual interior point trust region method for second-order stationary points of Riemannian inequality-constrained optimization problems

Receipt and verification

First computed	2026-07-05T05:20:14.580423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2ff52662ea8d13004b10901722e3f34c41768cb18e962b1db32fde3dd2b375a

Aliases

arxiv: 2209.15130 · arxiv_version: 2209.15130v2 · doi: 10.48550/arxiv.2209.15130 · pith_short_12: YL7VEZROVDIT · pith_short_16: YL7VEZROVDITABFR · pith_short_8: YL7VEZRO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YL7VEZROVDITABFRBEAXELR7GT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c2ff52662ea8d13004b10901722e3f34c41768cb18e962b1db32fde3dd2b375a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2a7b70d805c433ed8cb6d371b99c59f1718061d3e8626f1a3675dbe5137a134",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "cs.NA",
      "eess.SP",
      "math.IT",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-09-29T23:08:41Z",
    "title_canon_sha256": "cb0a06ab58b6a23bbb429285951e0359b173e69b815c4d95292a92256a382013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.15130",
    "kind": "arxiv",
    "version": 2
  }
}